c) How would you generalize this idea? Suppose you are given a graph G and a particular edge {u, v} in the graph. How would you alter Prim's algorithm to find the minimum spanning tree subject to the condition that {u. v} is in the tree?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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***Please type your answer or write in print, because I have had great difficulty with understanding most handwritten assistance done in cursive or mixed print/cursive.

(c) How would you generalize this idea? Suppose you are given a graph G
and a particular edge {u, v} in the graph. How would you alter Prim's
algorithm to find the minimum spanning tree subject to the condition that
{u, v} is in the tree?
Transcribed Image Text:(c) How would you generalize this idea? Suppose you are given a graph G and a particular edge {u, v} in the graph. How would you alter Prim's algorithm to find the minimum spanning tree subject to the condition that {u, v} is in the tree?
PROBLEM 8
An undirected weighted graph G is given below:
3
e
4
Figure 16: An undirected weighted graph has 6 vertices, a through f, and 9 edges.
Verter d is on the left. Verter f is above and to the right of verter d. Vertex e is
below and to the right of vertex f, but above vertex d. Verter c is below and to the
right of vertex e. Verter a is above verter e and to the right of vertex c. Verter
b is below and to the right of verter a, but above vertex c. The edges between the
vertices and their weight are as follows: d and f, 1; d and e, 4; ƒ and e, 2; e and a,
2; f and a, 3; е аnd c, 5; с and a, 7; с and b, 5; and a anпd b, 6.
Transcribed Image Text:PROBLEM 8 An undirected weighted graph G is given below: 3 e 4 Figure 16: An undirected weighted graph has 6 vertices, a through f, and 9 edges. Verter d is on the left. Verter f is above and to the right of verter d. Vertex e is below and to the right of vertex f, but above vertex d. Verter c is below and to the right of vertex e. Verter a is above verter e and to the right of vertex c. Verter b is below and to the right of verter a, but above vertex c. The edges between the vertices and their weight are as follows: d and f, 1; d and e, 4; ƒ and e, 2; e and a, 2; f and a, 3; е аnd c, 5; с and a, 7; с and b, 5; and a anпd b, 6.
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